%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM561+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 12:27:45 EDT 2022

% Result   : Theorem 0.20s 0.44s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   26 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  15   ~;   6   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn   3   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2911_02,hypothesis,
    aElementOf0(xx,szDzozmdt0(xF)) ).

fof(m__,conjecture,
    ( ? [W0] :
        ( aElementOf0(W0,szDzozmdt0(xF))
        & sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx) )
    | aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ) ).

fof(subgoal_0,plain,
    ( ~ ? [W0] :
          ( aElementOf0(W0,szDzozmdt0(xF))
          & sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx) )
   => aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
    inference(strip,[],[m__]) ).

fof(negate_0_0,plain,
    ~ ( ~ ? [W0] :
            ( aElementOf0(W0,szDzozmdt0(xF))
            & sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx) )
     => aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    aElementOf0(xx,szDzozmdt0(xF)),
    inference(canonicalize,[],[m__2911_02]) ).

fof(normalize_0_1,plain,
    ( ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
    & ! [W0] :
        ( sdtlpdtrp0(xF,W0) != sdtlpdtrp0(xF,xx)
        | ~ aElementOf0(W0,szDzozmdt0(xF)) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_2,plain,
    ! [W0] :
      ( sdtlpdtrp0(xF,W0) != sdtlpdtrp0(xF,xx)
      | ~ aElementOf0(W0,szDzozmdt0(xF)) ),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [W0] :
      ( sdtlpdtrp0(xF,W0) != sdtlpdtrp0(xF,xx)
      | ~ aElementOf0(W0,szDzozmdt0(xF)) ),
    inference(specialize,[],[normalize_0_2]) ).

cnf(refute_0_0,plain,
    aElementOf0(xx,szDzozmdt0(xF)),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( sdtlpdtrp0(xF,W0) != sdtlpdtrp0(xF,xx)
    | ~ aElementOf0(W0,szDzozmdt0(xF)) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    ( sdtlpdtrp0(xF,xx) != sdtlpdtrp0(xF,xx)
    | ~ aElementOf0(xx,szDzozmdt0(xF)) ),
    inference(subst,[],[refute_0_1:[bind(W0,$fot(xx))]]) ).

cnf(refute_0_3,plain,
    sdtlpdtrp0(xF,xx) != sdtlpdtrp0(xF,xx),
    inference(resolve,[$cnf( aElementOf0(xx,szDzozmdt0(xF)) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    sdtlpdtrp0(xF,xx) = sdtlpdtrp0(xF,xx),
    introduced(tautology,[refl,[$fot(sdtlpdtrp0(xF,xx))]]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( $equal(sdtlpdtrp0(xF,xx),sdtlpdtrp0(xF,xx)) )],[refute_0_4,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM561+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jul  6 23:16:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44  
% 0.20/0.44  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.45  
%------------------------------------------------------------------------------